Pith Number

pith:76GDZKLW

pith:2016:76GDZKLWW636NL75VNKF4SV4YY

not attested not anchored not stored refs pending

On Schroedinger operators with inverse square potentials on the half-line

Jan Derezi\'nski, Serge Richard

arxiv:1604.03340 v2 · 2016-04-12 · math-ph · math.MP · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{76GDZKLWW636NL75VNKF4SV4YY}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:47:15.059849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff8c3ca976b7b7e6affdab545e4abcc60533dbda2bc07900cbc2cec087236097

Aliases

arxiv: 1604.03340 · arxiv_version: 1604.03340v2 · doi: 10.48550/arxiv.1604.03340 · pith_short_12: 76GDZKLWW636 · pith_short_16: 76GDZKLWW636NL75 · pith_short_8: 76GDZKLW

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/76GDZKLWW636NL75VNKF4SV4YY \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: ff8c3ca976b7b7e6affdab545e4abcc60533dbda2bc07900cbc2cec087236097

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26c9a9e90e360bc0ee5c8aef12137bd432fe2b00fbc5afc9d04a8fbd4acc4fd7",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-04-12T11:05:59Z",
    "title_canon_sha256": "04b854957e36727c643bdeba60df393ed2d702350942911bb5a20406adb3a9e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.03340",
    "kind": "arxiv",
    "version": 2
  }
}